Unit 5 and 6 Exam

Question 1

vertical and horizontal translations

Answer 1

put in vertex form
h represents horizontal shift
k represents vertical shift

Question 2

reflection and dilation

Answer 2

if a is negative, parabola is reflected across x-axis
if |a| > 1, parabola is stretched vertically
is 0 < |a| < 1, parabola is compressed vertically

Question 3

vertex form

Answer 3

y = a(x - h)^2 + k

Question 4

discriminant

Answer 4

b^2 - 4ac
if d > 0: 2 roots
if d = 0: 1 root
if d < 0: no roots

Question 5

focal length

Answer 5

1/4a

Question 6

focal point

Answer 6

(h, k + a)

Question 7

directrix

Answer 7

y = k - p

Question 8

p

Answer 8

distance from the vertex to the focus

Question 9

modulus

Answer 9

√(a² + b²)

Question 10

find quadratic function from complex roots

Answer 10

convert (x - (a + bi))(x - (a - bi))
into y = ax^2 + bx +c